The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  X  1  1  1  0  1 X^2+X  1  1  1  X X^2+X  1  1  1  1  1  1  1  1  1  1  1  1 X^2  0  1  X  1  X  1  1 X^2  0  X  0  1 X^2 X^2+X  1  1  X X^2
 0  1  1 X^2+X X^2+X+1  1 X^2 X+1  1  1 X^2+1  X X^2+X+1  1  0  1  1 X^2+X  0  1  1 X+1  X X+1  X X^2  X X+1 X^2+X  1  X X^2 X^2  1  1  X  1 X+1  1 X+1  1  1  1  1  0 X^2+X+1  X  1  1 X+1 X^2  1
 0  0  X  0 X^2+X  0  X X^2 X^2+X  X X^2  X X^2+X  0  0 X^2 X^2+X X^2 X^2+X X^2+X X^2+X X^2 X^2+X  0  X  X  X  X  X X^2+X  0 X^2+X X^2  X  X  0  X X^2 X^2  X X^2  0  0  0  X X^2+X X^2 X^2 X^2 X^2 X^2+X X^2+X
 0  0  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2
 0  0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0
 0  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0

generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+35x^46+178x^47+135x^48+246x^49+173x^50+200x^51+121x^52+286x^53+140x^54+232x^55+116x^56+94x^57+24x^58+24x^59+4x^60+10x^61+9x^62+6x^63+4x^64+4x^65+3x^66+3x^68

The gray image is a linear code over GF(2) with n=208, k=11 and d=92.
This code was found by Heurico 1.16 in 0.228 seconds.